What is the answer to 4^x=100 ?

The answer to 4^x=100 is x=(ln(10))/(ln(2))

The solution is x=(ln(10))/(ln(2))

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4^x=100

4^{x} = 100

x = \frac{ln ( 10 )}{ln ( 2 )}

Decimal Notation

x = 3.32192 \dots

Solution steps

4^{x} = 100

Apply exponent rules

x ln (4) = ln (100)

Solve

x ln (4) = ln (100) : x = \frac{ln ( 10 )}{ln ( 2 )}

x = \frac{ln ( 10 )}{ln ( 2 )}

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2^{x} - 1 = 0

e^{2 x} = e^{x}

3^{x^{3}} = 9^{x}

2 e^{x} - e^{- 3 x} = 0